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Question

The number which should be added to the number added to the numbers 2, 14, 62 so that the resulting numbers may be in G.P. is


A

1

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B

2

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C

3

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D

4

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Solution

The correct option is B

2


Suppose that the added number be x

then x + 2, x + 14, x + 62 be in G.P.

Therefore (x+14)2 = (x + 2)(x + 62)

x2+196+28x = x2+64x+124

36x = 72 x = 2

Trick : (a) Let 1 is added, then the numbers will be 3, 15, 63 which are obviously not in G.P.

(b) Let 2 is added, then the numbers will be 4, 16, 64 which are obviously in G.P.


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